Summary
We express the momentum current (=stress) tensor for a periodic fluid with two hard disks per unit cell in terms of a single particle billiard. We establish a central limit theorem for the time-integrated stress tensor and thereby prove the existence of a strictly positive shear and bulk viscosity.
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Communicated by Ya. G. Sinai
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Bunimovich, L.A., Spohn, H. Viscosity for a periodic two disk fluid: An existence proof. Commun.Math. Phys. 176, 661–680 (1996). https://doi.org/10.1007/BF02099254
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DOI: https://doi.org/10.1007/BF02099254